101871820800 has 1008 divisors, whose sum is σ = 399310067520. Its totient is φ = 25692733440.

The previous prime is 101871820781. The next prime is 101871820873. The reversal of 101871820800 is 8028178101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1144627156 + ... + 1144627244.

It is an arithmetic number, because the mean of its divisors is an integer number (396140940).

Almost surely, 2^101871820800 is an apocalyptic number.

101871820800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101871820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199655033760).

101871820800 is an abundant number, since it is smaller than the sum of its proper divisors (297438246720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101871820800 is an frugal number, since it uses more digits than its factorization.

101871820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 36.

Adding to 101871820800 its reverse (8028178101), we get a palindrome (109899998901).

The spelling of 101871820800 in words is "one hundred one billion, eight hundred seventy-one million, eight hundred twenty thousand, eight hundred".